4103794614240 has 288 divisors, whose sum is σ = 14566794592896. Its totient is φ = 1091035630080.

The previous prime is 4103794614223. The next prime is 4103794614347. The reversal of 4103794614240 is 424164973014.

4103794614240 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 7 + 9 + 4 + 614 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4103794614240³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12709839 + ... + 13028721.

It is an arithmetic number, because the mean of its divisors is an integer number (50579147892).

Almost surely, 2^{4103794614240} is an apocalyptic number.

4103794614240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103794614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283397296448).

4103794614240 is an abundant number, since it is smaller than the sum of its proper divisors (10462999978656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4103794614240 is a wasteful number, since it uses less digits than its factorization.

4103794614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319244 (or 319224 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 4103794614240 in words is "four trillion, one hundred three billion, seven hundred ninety-four million, six hundred fourteen thousand, two hundred forty".